GCD of 256, 944, 20, 845 Calculator

Given Input numbers are 256, 944, 20, 845

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 256, 944, 20, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 944, 20, 845 is 1.

Therefore, GCD of numbers 256, 944, 20, 845 is 1

Given Input Data is 256, 944, 20, 845

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 845 is 5 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(256, 944) = 15104

GCD(256, 944) = ( 256 x 944 ) / 15104

GCD(256, 944) = 241664 / 15104

GCD(256, 944) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 20

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(16, 20) = 80

GCD(16, 20) = ( 16 x 20 ) / 80

GCD(16, 20) = 320 / 80

GCD(16, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 845

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 845) = 3380

GCD(4, 845) = ( 4 x 845 ) / 3380

GCD(4, 845) = 3380 / 3380

GCD(4, 845) = 1

GCD of 256, 944, 20, 845 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 425, 77, 427
• GCD of 656, 896, 21, 436
• GCD of 740, 946, 11, 419
• GCD of 522, 403, 16, 836
• GCD of 174, 131, 17, 811

1. What is the GCD of 256, 944, 20, 845?

GCD of 256, 944, 20, 845 is 1

2. Where do I get the detailed procedure to find GCD of 256, 944, 20, 845?

You can find a detailed procedure to find GCD of 256, 944, 20, 845 on our page.

3. How to find GCD of 256, 944, 20, 845 on a calculator?

You can find the GCD of 256, 944, 20, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.